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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR071+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:44:55 AM UTC 2026

% Result   : Theorem 0.92s 0.55s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   53 (  16 unt;   4 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   89 (  40   ~;  36   |;   3   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,axiom,
    ( mtvisible(c_tptp_member1672_mt)
   => navypersonnel(c_tptpnavypersonnel_3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_91) ).

fof(f284,axiom,
    ! [X0] :
      ( navypersonnel(X0)
     => militaryperson(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_284) ).

fof(f448,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_448) ).

fof(f453,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_453) ).

fof(f495,axiom,
    ! [X0] :
      ( ( mtvisible(c_tptp_member698_mt)
        & militaryperson(X0) )
     => tptpofobject(X0,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_495) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query121) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1269,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ mtvisible(c_tptp_member1672_mt) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f1359,plain,
    ! [X0] :
      ( militaryperson(X0)
      | ~ navypersonnel(X0) ),
    inference(ennf_transformation,[],[f284]) ).

fof(f1461,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(ennf_transformation,[],[f495]) ).

fof(f1462,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(flattening,[],[f1461]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f2012]) ).

fof(f2022,plain,
    ( ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2112,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ mtvisible(c_tptp_member1672_mt) ),
    inference(cnf_transformation,[],[f1269]) ).

fof(f2305,plain,
    ! [X0] :
      ( ~ navypersonnel(X0)
      | militaryperson(X0) ),
    inference(cnf_transformation,[],[f1359]) ).

fof(f2468,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member698_mt),
    inference(cnf_transformation,[],[f448]) ).

fof(f2473,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member1672_mt),
    inference(cnf_transformation,[],[f453]) ).

fof(f2515,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
      | ~ mtvisible(c_tptp_member698_mt)
      | ~ militaryperson(X0) ),
    inference(cnf_transformation,[],[f1462]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f2013]) ).

fof(f3062,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ~ tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414)),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3065,definition,
    ( spl0_1
  <=> mtvisible(c_tptp_member698_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f3067,plain,
    ( ~ mtvisible(c_tptp_member698_mt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f3065]) ).

fof(f3074,definition,
    ( spl0_3
  <=> ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_6(n_414))
        | ~ militaryperson(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f3075,plain,
    ( ! [X0] :
        ( ~ militaryperson(X0)
        | tptpofobject(X0,f_tptpquantityfn_6(n_414)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f3074]) ).

fof(f3076,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2515,f3074,f3065]) ).

fof(f3354,definition,
    ( spl0_64
  <=> mtvisible(c_tptp_member1672_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f3356,plain,
    ( ~ mtvisible(c_tptp_member1672_mt)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f3354]) ).

fof(f3358,definition,
    ( spl0_65
  <=> navypersonnel(c_tptpnavypersonnel_3) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f3360,plain,
    ( navypersonnel(c_tptpnavypersonnel_3)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f3358]) ).

fof(f3361,plain,
    ( ~ spl0_64
    | spl0_65 ),
    inference(avatar_split_clause,[],[f2112,f3358,f3354]) ).

fof(f4497,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f3053,f3062]) ).

fof(f4503,plain,
    mtvisible(c_tptp_member1672_mt),
    inference(resolution,[],[f4497,f2473]) ).

fof(f4509,plain,
    mtvisible(c_tptp_member698_mt),
    inference(resolution,[],[f4497,f2468]) ).

fof(f4510,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f4509,f3067]) ).

fof(f4511,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f4510]) ).

fof(f4520,plain,
    ( $false
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f4503,f3356]) ).

fof(f4521,plain,
    spl0_64,
    inference(avatar_contradiction_clause,[],[f4520]) ).

fof(f4537,plain,
    ( militaryperson(c_tptpnavypersonnel_3)
    | ~ spl0_65 ),
    inference(resolution,[],[f3360,f2305]) ).

fof(f5794,plain,
    ( tptpofobject(c_tptpnavypersonnel_3,f_tptpquantityfn_6(n_414))
    | ~ spl0_3
    | ~ spl0_65 ),
    inference(resolution,[],[f4537,f3075]) ).

fof(f5796,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_65 ),
    inference(forward_subsumption_resolution,[],[f5794,f3063]) ).

fof(f5797,plain,
    ( ~ spl0_3
    | ~ spl0_65 ),
    inference(avatar_contradiction_clause,[],[f5796]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(sat_conversion,[],[f3076]) ).

cnf(s46,plain,
    ( ~ spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f3361]) ).

cnf(s54,plain,
    spl0_1,
    inference(sat_conversion,[],[f4511]) ).

cnf(s59,plain,
    spl0_64,
    inference(sat_conversion,[],[f4521]) ).

cnf(s62,plain,
    ( ~ spl0_3
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f5797]) ).

cnf(s65,plain,
    spl0_65,
    inference(rat,[],[s46,s59]) ).

cnf(s66,plain,
    ~ spl0_3,
    inference(rat,[],[s62,s65]) ).

cnf(s78,plain,
    $false,
    inference(rat,[],[s2,s66,s54]) ).

fof(f5798,plain,
    $false,
    inference(avatar_sat_refutation,[],[s78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR071+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31  % Computer : n004.cluster.edu
% 0.26/0.31  % Model    : x86_64 x86_64
% 0.26/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31  % Memory   : 8046.5625MB
% 0.26/0.31  % OS       : Linux 6.8.0-71-generic
% 0.26/0.31  % CPULimit : 300
% 0.26/0.31  % WCLimit  : 300
% 0.26/0.31  % DateTime : Mon Sep 28 22:24:37 UTC 2026
% 0.26/0.32  % CPUTime  : 
% 0.26/0.32  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.37  Running first-order model finding
% 0.26/0.37  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/0.55  % (858090)Will run a generic schedule for satisfiability detection.
% 0.92/0.55  % (858095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=296935275_2999 on theBenchmark for (2999ds/0Mi)
% 0.92/0.55  % (858096)% WARNING: option uhcvi not known.
% 0.92/0.55  % (858100)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2481146294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.92/0.55  % (858101)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1223988843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.92/0.55  % (858098)dis+10_1_sil=32000:sp=arity:random_seed=3355694557:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.92/0.55  % (858099)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3495651957:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.92/0.55  % (858096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=654569377:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.92/0.55  % TRYING [1]
% 0.92/0.55  % TRYING [2]
% 0.92/0.55  % (858097)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3668161753:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.92/0.55  % TRYING [3]
% 0.92/0.55  % TRYING [4]
% 0.92/0.55  % TRYING [5]
% 0.92/0.55  % (858100) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-858090-858100"...
% 0.92/0.55  % (858100)...printing done.
% 0.92/0.55  % (858100)Refutation found. Thanks to Tanya!
% 0.92/0.55  % SZS status Theorem for theBenchmark
% 0.92/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.55  % (858100)------------------------------
% 0.92/0.55  % (858100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.55  % (858100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.55  % (858100)CaDiCaL version: 2.1.3
% 0.92/0.55  % (858100)Termination reason: Refutation
% 0.92/0.55  % (858100)Time elapsed: 0.075 s
% 0.92/0.55  % (858100)Peak memory usage: 15 MB
% 0.92/0.55  % (858100)Instructions burned: 79 (million)
% 0.92/0.55  % (858090)Success in time 0.165 s
% 0.92/0.55  % Vampire exiting
%------------------------------------------------------------------------------